The Golden Ratio: The Ultimate Guide to Understanding and Using It (2024)

Designers everywhere should know about the Golden Ratio. It is a mathematical ratio that creates aesthetically pleasing designs. Since the Golden Ratio exists so frequently in nature, it’s not a surprise that its results are natural-looking.

The Golden Ratio: The Ultimate Guide to Understanding and Using It (1)

The Golden Ratio: The Ultimate Guide to Understanding and Using It (2)

Photo by Bogomil Mihaylov on Unsplash

The Golden Ratio goes by several other names, too:

  • Divine Proportion
  • Golden Mean
  • Golden Section
  • Phi (Greek letter)

Table Of Contents

  • 1The Math Behind the Golden Ratio
    • 1.1To understand the Golden Ratio, you have to first understand the Golden Rectangle
    • 1.2Back to the Golden Rectangle, because it’s so much easier to understand
    • 1.3The Fibonacci Sequence
    • 1.4The Golden Circles
  • 2You’ve Seen This Before, A Lot
  • 3The Golden Ratio in Art and Design
    • 3.1Let’s take a look at a commonly-referenced example: the Parthenon
  • 4The Golden Ratio and Website Design
    • 4.1The Golden Ratio and Layout
    • 4.2The Golden Ratio and Spacing
    • 4.3The Golden Ratio and Content
    • 4.4Honorable Mention: The Golden Ratio and Images
  • 5Wrapping Up

The Math Behind the Golden Ratio

I’m going to explain the Golden Ratio’s math as simply as possible and without going into the details you don’t actually need to know. If you can keep up with the math, great. But if you can’t, that’s okay – you’ll still be able to use the concept in your designs.

To understand the Golden Ratio, you have to first understand the Golden Rectangle

The Golden Rectangle is a large rectangle that has a square inside it. The sides of the square are equal to the shortest length of the rectangle:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (3)

Source: Wikipedia

The Golden Ratio is a number that’s (kind of) equal to 1.618, just like pi is approximately equal to 3.14, but not exactly.

You take a line and divide it into two parts – a long part (a) and a short part (b). The entire length (a + b) divided by (a) is equal to (a) divided by (b). And both of those numbers equal 1.618. So, (a + b) divided by (a) equals 1.618, and (a) divided by (b) also equals 1.618.

Back to the Golden Rectangle, because it’s so much easier to understand

When you place a square inside the rectangle, it creates another, smaller rectangle. Ignore the black lines and look at the red and green boxes:

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The red square has four sides equal in length, and that length is equal to the shortest length of the rectangle. By sectioning off that square, you automatically create another, smaller rectangle (outlined in green). Together, they create a complete Golden Ratio layout and a base for the Golden Spiral.

You can also make a new Golden Rectangle out of the smaller rectangle, like this one I’ve outlined in blue:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (5)

A traditional Golden Ratio diagram has eight Golden Rectangles:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (6)

And here’s the smallest Golden Rectangle, #8:

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If you start in the bottom left and make an arch to connect the far side of each square-and-small-rectangle cross section, you’ll get the Golden Spiral.

The Fibonacci Sequence

The Fibonacci Sequence is pretty simple to understand: you start with zero and 1, then get the next number by adding up the two numbers before it. 0 + 1 = 1, then 1 + 1 = 2, etc. The first few numbers in the sequence are 0, 1, 1, 2, 3, 5, 8, 13, 21, 34.

If you use those numbers to create squares with those widths, you can pretty much create a Golden Spiral:

The Golden Circles

Sometimes, you’ll see circles drawn in the squares instead of or in addition to the spiral. If you draw perfect circles in the boxes of the Golden Ratio overlay, they’ll have the 1:1.618 ratio with one adjacent circle.

The Golden Ratio: The Ultimate Guide to Understanding and Using It (9)

Source: Limelight Department

The Pepsi and Twitter logos use the Golden Circles:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (10)

Source: Hybrid Talks

You’ve Seen This Before, A Lot

Nature is full of the Golden Ratio. It’s in flora, shells, weather…

The Golden Ratio: The Ultimate Guide to Understanding and Using It (11)

Source: Photo by Annie Spratt on Unsplash

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Source: Photo by NASA on Unsplash

And because we see it so often, our brains prefer it. That innate attraction is why it’s such a powerful layout for designers to use.

The Golden Ratio in Art and Design

Sometimes the Golden Ratio super easy to recognize:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (13)

Source: staceysdetailinginc.com

Sometimes you go, “I have no idea what you’re talking about… oh wait. Now I see it. I think.”

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Source: Marketing Insiders

Other times you could go crazy looking at it…

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Source: Widewalls

…but if you zero in on the main Golden Rectangle, it becomes a little more clear:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (16)

Let’s take a look at a commonly-referenced example: the Parthenon

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Source: Creative Bloq

At first, you might see this and go, “That just looks symmetrical to me. How does what I’m looking at fit into that Golden Rectangle Spiral thing?”

The Golden Ratio isn’t about how each part of a design fits completely and only into the specific sections. If that was the point, the right side of the Parthenon would be one big block and the left side would be sectioned into smaller blocks.

Instead, the ratio is used to create harmony and proportion, and that can be interpreted in a few different ways.

While the Golden Ratio is grounded in math, it can be adapted in creative ways. In the case of the Parthenon, the Golden Ratio determines the height and placement of design components. Plus, there are a number of ways to lay Golden Ratio diagrams over it:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (18)

Source: Archinect

The Golden Ratio: The Ultimate Guide to Understanding and Using It (19)

Source: Esther Sugihto on Medium

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Source: GoldenNumber.net

The Golden Ratio and Website Design

Whether you’re into math or your head’s about to explode, the Golden Ratio is a bit easier to understand in terms of design. You’ve done the heavy lifting. Now it’s time to take the basic overlay and make your web components perfectly pleasing.

The Golden Ratio and Layout

If you want a perfect Golden Ratio layout, set the dimensions to 1:1.618. For example, you can set the width to 960 pixels and the height to 594 pixels. The Golden Rectangle is 594 pixels on each side and the rectangle takes up the rest of the layout (594 x 366).

Calculator Soup has a helpful Golden Ratio calculator where you can set any term (A, B or A + B) to find the correct Golden Ratio values.

Or, you can simply use this type of two-column layout, where one column is quite a bit wider than the other column. It’s organized and clearly shows hierarchy.

The Golden Ratio: The Ultimate Guide to Understanding and Using It (21)

Source: National Geographic

I use this on my website because the homepage is a collection of my blog posts, and I feel like this is one of the most-recognized layouts for blogs:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (22)

In my opinion, though, the symmetrical layout we use on Elegant Themes is more modern:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (23)

The Golden Ratio and Spacing

The Golden Ratio can help you determine where to place elements of your design, the proportions to use and where to leave negative space. Here’s a simple example, and you can almost see the Golden Ratio overlay without even having to put it on top:

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Source: Digiarts 2011

Here’s what it looks like when I apply the Golden Spiral in Photoshop:

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Again, the Golden Ratio is grounded in math, but when it comes to applying it to design, it’s not perfect. That design isn’t created on a Golden Rectangle, so the Golden Spiral is out of normal proportions. However, you can see how it can guide a designer to choose where to put the largest element of the design, as well as the smallest elements and negative space.

You can also layer the Golden Ratio overlay to apply it to different elements of the same design:

The Golden Ratio: The Ultimate Guide to Understanding and Using It (26)

Source: Branding by Lemongraphic. Example from Canva.

The Golden Ratio and Content

When you think about the Golden Ratio’s layout and spacing together, you can start deciding where to place content on your website.

Let’s look at the National Geographic website again, this time with Canva’s Golden Ratio overlay on it:

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The layout is split so that content lines up along the spiral’s center line. To the left, there’s a large block of content. To the right, the content becomes denser and there’s a lot more negative space. Toward the center curlicue of the spiral, you’ll see a second National Geographic logo – there’s no better way to drive home branding than to place it where the eye naturally goes.

Here’s a great example of how the Golden Spiral can lead your eye through a design, even past its main component. This is useful if you have a lot of content to squeeze onto one page. You’ll also notice that even with such a packed and detailed design, there’s still negative space in there.

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Source: Design by Helms Workshop. Example from Canva.

Honorable Mention: The Golden Ratio and Images

The Golden Ratio is also used in photography composition. Instead of creating a Golden Spiral, the Golden Ratio splits the image into six blocks. The same Golden Ratio is used in this type of grid: the widths and heights of the sections are either 1 or 0.618.

The Golden Ratio: The Ultimate Guide to Understanding and Using It (29)

Source: Canva

You then use the intersections to compose the shot. The goal is to put a subject or main part of a subject on one of the intersecting lines – the subject shouldn’t be centered, and some blocks should be left empty (in most cases, at least – macro photography and close-up portraits will fill almost all of the frame). By doing this, you create a more interesting portrait than if the subject were centered.

A much simpler and more accessible way to follow this rule is to use the Rule of Thirds grid, which you probably have on your phone’s built-in camera or your DSLR.

Here’s a picture I took of my cousin’s son. I’ve laid the Rule of Thirds grid over it to show you where the subject does, and does not, fill the frame.

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Also, look how the Golden Spiral almost-perfectly wraps around the subject:

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The Golden Ratio differs from the Rule of Thirds because the Rule of Thirds grid has sections with equal lengths and widths. However, it’s so close – and so much easier – that this is what photographers commonly use when composing or editing a photo.

Wrapping Up

The Golden Ratio can be used as-is or adapted to your purposes and tweaked for size – math may have hard-and-fast rules, but creativity doesn’t. While you can use the Golden Ratio from the get-go to guide your design, you can also use it after you’ve started designing to make tweaks and improvements. The goal is to have the ratio guide you, not to force fit a design into it.

Ready to play with your website layout even more? Check out our article about using Divi’s new height and width options to create responsive design.

The Golden Ratio: The Ultimate Guide to Understanding and Using It (2024)

FAQs

The Golden Ratio: The Ultimate Guide to Understanding and Using It? ›

The Golden Ratio is a number that's (kind of) equal to 1.618, just like pi is approximately equal to 3.14, but not exactly. You take a line and divide it into two parts – a long part (a) and a short part (b). The entire length (a + b) divided by (a) is equal to (a) divided by (b).

What is the golden ratio answers? ›

Golden ratio is a special number and is approximately equal to 1.618. Golden ratio is represented using the symbol “ϕ”. Golden ratio formula is ϕ = 1 + (1/ϕ). ϕ is also equal to 2 × sin (54°)

What is the golden ratio easily explained? ›

The golden ratio, also known as the golden number, golden proportion, or the divine proportion, is a ratio between two numbers that equals approximately 1.618. Usually written as the Greek letter phi, it is strongly associated with the Fibonacci sequence, a series of numbers wherein each number is added to the last.

How to solve the golden ratio? ›

You can find the Golden Ratio when you divide a line into two parts and the longer part (a) divided by the smaller part (b) is equal to the sum of (a) + (b) divided by (a), which both equal 1.618. This formula can help you when creating shapes, logos, layouts, and more.

What is the golden ratio of God? ›

This ratio - 1.618 - is an approximation of its true value of [1+√5)/2]. This ratio has served mankind in three ways: it provides beauty, function, and reveals how wise, good, and powerful the Creator is.

What is golden ratio in our life? ›

The golden ratio occurs when the ratio of the sum of two quantities equals the ratio of the quantity as a whole, which is symbolized by the number 1.618 or the Greek letter “phi.” It has been used to create what are regarded as the most esthetically pleasing designs that display perfect symmetry in architecture and art ...

What is the golden ratio in the human body? ›

It has been suggested that the ideal human figure has its navel at the golden ratio ( , about 1.618), dividing the body in the ratio of 0.618 to 0.382 (soles of feet to navel:navel to top of head) ( 1⁄ is. -1, about 0.618) and Leonardo da Vinci's Vitruvian Man is cited as evidence.

What is the most perfect golden ratio? ›

The Golden Ratio, roughly 1:1.618, is a principle from mathematics that describes ideal proportions. When applied to facial aesthetics, it offers a guideline for achieving facial balance and symmetry.

Are golden ratio and Fibonacci the same? ›

If you want a one-word answer, it will be a NO. The Fibonacci sequence is a sequence of numbers and the golden ratio is the ratio of two numbers. The ratio of two consecutive Fibonacci sequence numbers is not constant, it approaches the golden ratio the bigger the pairs are.

Is golden ratio important why? ›

The golden ratio, approximately between 1 to 1.618, is an extremely important number to mathematicians. But when it comes to art, artists use this golden ratio because it is aesthetically pleasing. The golden ratio can be used in art and design to achieve beauty, balance, and harmony.

What is the general equation for the golden ratio? ›

The Golden Ratio can be calculated proportionally, using joined line segments AB and BC that obey the Golden Ratio with AB being the shorter segment. The Golden Ratio is given by the proportion AB/BC = BC/AC. The Golden Ratio may also be expressed in terms of itself, as the formula phi = 1 + 1/phi.

How do I know my golden ratio? ›

First, the length and width of the face are measured. Once this is done, the length is divided by the width. The ideal result is considered the Golden Ratio which should equal 1.6. This means a beautiful person's face is about 1 ½ times longer than it is wide.

Is the golden ratio irrational? ›

Since the time of the ancient Greeks, humans have been aware of this mathematical idea. Golden ratio is an irrational number that is symbolized by the Greek numeral phi (φ).

Is the golden rule from Jesus? ›

The "Golden Rule" was proclaimed by Jesus of Nazareth during his Sermon on the Mount and described by him as the second great commandment. The common English phrasing is "Do unto others as you would have them do unto you".

What is the magic of the golden ratio? ›

Introduction: The Golden Ratio, often denoted as φ (phi), is a mathematical constant that has fascinated scientists, artists, and thinkers throughout history. This irrational number, approximately equal to 1.61803398875, is found in various aspects of nature, art, architecture, and even in the human body.

What is the divine golden ratio? ›

The golden ratio, also known as the divine proportion, is a special number (equal to about 1.618) that appears many times in geometry, art, an architecture.

What is the answer to the golden ratio commonlit? ›

When two parts of a whole exist in the golden ratio, then A/B = 1.618. The famous Greek founder of geometry, Euclid, wrote about the golden ratio in his work. He even assigned a special symbol for it: the 21st letter in the Greek alphabet, Phi, which looks like this: Φ.

What is my golden ratio? ›

The Golden Ratio is a number that's (kind of) equal to 1.618, just like pi is approximately equal to 3.14, but not exactly. You take a line and divide it into two parts – a long part (a) and a short part (b). The entire length (a + b) divided by (a) is equal to (a) divided by (b). And both of those numbers equal 1.618.

What does the ratio of the golden mean? ›

In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.

What is the golden ratio quizlet? ›

Fibonacci numbers, like many elements found in nature, follow a 1:1.61 ratio - this is what we refer to as the Golden Ratio, and as it forms such a common sight in nature, it feels pleasing to the eye when we use this same ratio in our design work.

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